Profiling results ----------------- Total cpu time observed: 18700ms (out of 18896ms) Number of samples taken: 89 (once every 210ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== [1] 18700(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [11] 100.0% ------------------------------------------------------------------------ ??? [82] 100.0% [2] 2138(11.4%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [12] 91.0% for-loop [19] 9.0% ------------------------------------------------------------------------ hash-ref! [90] 100.0% [3] 1946(10.4%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [90] 88.4% ??? [22] 11.6% ------------------------------------------------------------------------ hash-ref! [90] 100.0% [4] 1764(9.4%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [13] 100.0% ------------------------------------------------------------------------ hash-ref! [90] 100.0% [5] 1558(8.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [14] 100.0% ------------------------------------------------------------------------ loop [40] 100.0% [6] 790(4.2%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [15] 100.0% ------------------------------------------------------------------------ hash-ref! [90] 100.0% [7] 408(2.2%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [16] 100.0% ------------------------------------------------------------------------ matcher [95] 100.0% [8] 398(2.1%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:127:11 for-loop [17] 100.0% ------------------------------------------------------------------------ for-loop [63] 100.0% [9] 226(1.2%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [15] 100.0% ------------------------------------------------------------------------ for-loop [63] 100.0% [10] 196(1.0%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [18] 100.0% ------------------------------------------------------------------------ ??? [1] 100.0% [11] 18700(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [20] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [12] 1946(10.4%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [82] 100.0% ------------------------------------------------------------------------ f61 [104] 9.4% parse-loop74 [4] 90.6% [13] 1946(10.4%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [21] 90.5% loop [40] 9.5% ------------------------------------------------------------------------ ??? [5] 100.0% [14] 1558(8.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [90] 87.4% ??? [22] 12.6% ------------------------------------------------------------------------ syntax-e [9] 22.2% expand-id-application-form17 [6] 77.8% [15] 1016(5.4%) 0(0.0%) syntax-e/no-taint (unknown source) loop [40] 100.0% ------------------------------------------------------------------------ ??? [7] 100.0% [16] 408(2.2%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [90] 100.0% ------------------------------------------------------------------------ ??? [8] 100.0% [17] 398(2.1%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:129:15 matcher [95] 100.0% ------------------------------------------------------------------------ expand-identifier [10] 100.0% [18] 196(1.0%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [23] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [19] 192(1.0%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [24] 100.0% ------------------------------------------------------------------------ profile-thunk16 [11] 100.0% [20] 18700(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [25] 100.0% ------------------------------------------------------------------------ eval-const-expr [13] 100.0% [21] 1762(9.4%) 0(0.0%) temp85_0 (unknown source) compile15 [26] 100.0% ------------------------------------------------------------------------ for-loop [14] 46.4% ??? [3] 53.6% [22] 422(2.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:293:19 hash-ref! [90] 100.0% ------------------------------------------------------------------------ resolve+shift28 [18] 100.0% [23] 196(1.0%) 0(0.0%) fallback-loop (unknown source) for-loop [63] 100.0% ------------------------------------------------------------------------ for-loop [19] 33.3% taylor [24] 66.7% [24] 192(1.0%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [24] 66.7% do-curry [27] 33.3% ------------------------------------------------------------------------ for-loop [91] 3.7% run [20] 96.3% [25] 18700(100.0%) 200(1.1%) .../more-scheme.rkt:261:28 (unknown source) prepare-points-intervals [33] 67.8% run-improve47 [28] 26.3% ulp-difference [30] 1.6% errors [83] 1.1% oracle-error [32] 1.1% ??? [31] 1.0% ??? [82] 0.6% ------------------------------------------------------------------------ temp85_0 [21] 100.0% [26] 1762(9.4%) 0(0.0%) compile15 (unknown source) temp91_0 [29] 100.0% ------------------------------------------------------------------------ taylor [24] 100.0% [27] 192(1.0%) 192(1.0%) do-curry ...-7.5/collects/racket/function.rkt:71:2 ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 100.0% [28] 5408(28.9%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [34] 91.6% simplify! [44] 4.3% prepare-points-intervals [33] 4.1% ------------------------------------------------------------------------ compile15 [26] 100.0% [29] 1762(9.4%) 0(0.0%) temp91_0 (unknown source) temp118_0 [35] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 100.0% [30] 600(3.2%) 600(3.2%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 100.0% [31] 388(2.1%) 388(2.1%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 100.0% [32] 202(1.1%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [36] 100.0% ------------------------------------------------------------------------ run-improve47 [28] 1.7% .../more-scheme.rkt:261:28 [25] 98.3% [33] 12906(69.0%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [37] 100.0% ------------------------------------------------------------------------ run-improve47 [28] 100.0% [34] 4952(26.5%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [38] 100.0% ------------------------------------------------------------------------ temp91_0 [29] 100.0% [35] 1762(9.4%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [39] 100.0% ------------------------------------------------------------------------ oracle-error [32] 100.0% [36] 202(1.1%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [40] 100.0% ------------------------------------------------------------------------ prepare-points-intervals [33] 100.0% [37] 12906(69.0%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [41] 96.9% ??? [46] 3.1% ------------------------------------------------------------------------ for-loop [34] 100.0% [38] 4952(26.5%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [42] 43.2% simplify! [44] 24.8% finalize-iter! [45] 23.9% gen-rewrites! [47] 8.0% ------------------------------------------------------------------------ loop [40] 9.5% temp118_0 [35] 90.5% [39] 1946(10.4%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [43] 90.5% dispatch-transformer41 [49] 9.5% ------------------------------------------------------------------------ eval-const-expr [13] 2.2% loop [40] 4.4% gf [78] 6.6% for-loop [36] 14.4% for-loop [63] 28.2% syntax-e/no-taint [15] 44.3% [40] 1402(7.5%) 184(1.0%) loop (unknown source) gf [78] 48.7% expand-id-application-form17 [6] 28.2% ??? [48] 14.4% loop [40] 4.4% expand-capturing-lifts [39] 2.2% ------------------------------------------------------------------------ loop [37] 100.0% [41] 12506(66.9%) 406(2.2%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [50] 77.4% real->precision [55] 9.8% log! [56] 4.8% ??? [52] 3.2% hash-update! [59] 1.6% ------------------------------------------------------------------------ run-iter! [38] 100.0% [42] 2138(11.4%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [51] 100.0% ------------------------------------------------------------------------ expand-capturing-lifts [39] 100.0% [43] 1762(9.4%) 182(1.0%) lambda-clause-expander (unknown source) finish-bodys [53] 89.7% ------------------------------------------------------------------------ run-improve47 [28] 15.9% run-iter! [38] 84.1% [44] 1462(7.8%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [54] 100.0% ------------------------------------------------------------------------ run-iter! [38] 100.0% [45] 1186(6.3%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [52] 100.0% ------------------------------------------------------------------------ loop [37] 100.0% [46] 400(2.1%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [57] 100.0% ------------------------------------------------------------------------ run-iter! [38] 100.0% [47] 398(2.1%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [58] 100.0% ------------------------------------------------------------------------ loop [40] 100.0% [48] 202(1.1%) 202(1.1%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ------------------------------------------------------------------------ expand-capturing-lifts [39] 100.0% [49] 184(1.0%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [60] 100.0% ------------------------------------------------------------------------ loop [41] 100.0% [50] 9676(51.7%) 2032(10.9%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-exp [61] 44.0% ival-sub [66] 10.2% ival-div [67] 10.2% ival-neg [68] 8.5% ival-add [70] 6.1% ------------------------------------------------------------------------ gen-series! [42] 100.0% [51] 2138(11.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [62] 100.0% ------------------------------------------------------------------------ loop [41] 25.2% finalize-iter! [45] 74.8% [52] 1586(8.5%) 400(2.1%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [65] 74.8% ------------------------------------------------------------------------ lambda-clause-expander [43] 18.6% for-loop [63] 81.4% [53] 1580(8.4%) 0(0.0%) finish-bodys (unknown source) for-loop [63] 100.0% ------------------------------------------------------------------------ simplify! [44] 100.0% [54] 1462(7.8%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [64] 100.0% ------------------------------------------------------------------------ loop [41] 100.0% [55] 1224(6.5%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [82] 100.0% ------------------------------------------------------------------------ loop [41] 100.0% [56] 598(3.2%) 0(0.0%) log! ...htlies/herbie/findroot/src/points.rkt:59:2 for-loop [69] 100.0% ------------------------------------------------------------------------ ??? [46] 100.0% [57] 400(2.1%) 0(0.0%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [71] 100.0% ------------------------------------------------------------------------ gen-rewrites! [47] 100.0% [58] 398(2.1%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [72] 100.0% ------------------------------------------------------------------------ loop [41] 100.0% [59] 202(1.1%) 202(1.1%) hash-update! ...cket/private/more-scheme.rkt:365:4 ------------------------------------------------------------------------ dispatch-transformer41 [49] 100.0% [60] 184(1.0%) 0(0.0%) apply-transformer52 (unknown source) apply-post-expansion [73] 100.0% ------------------------------------------------------------------------ ??? [50] 100.0% [61] 4262(22.8%) 2858(15.3%) ival-exp ...bie/findroot/src/biginterval.rkt:192:0 bfneg [74] 32.9% ------------------------------------------------------------------------ for-loop [51] 100.0% [62] 2138(11.4%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [75] 100.0% ------------------------------------------------------------------------ fallback-loop [23] 0.4% for-loop [63] 10.8% finish-bodys [53] 88.8% [63] 1580(8.4%) 564(3.0%) for-loop (unknown source) finish-bodys [53] 72.9% for-loop [63] 10.8% loop [40] 4.5% syntax-e [9] 1.3% expand-identifier [10] 0.4% ------------------------------------------------------------------------ ??? [54] 100.0% [64] 1462(7.8%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [77] 100.0% ------------------------------------------------------------------------ ??? [52] 100.0% [65] 1186(6.3%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [79] 100.0% ------------------------------------------------------------------------ ??? [50] 100.0% [66] 988(5.3%) 390(2.1%) ival-sub ...bie/findroot/src/biginterval.rkt:108:0 bfadd [76] 60.5% ------------------------------------------------------------------------ ??? [50] 100.0% [67] 988(5.3%) 400(2.1%) ival-div ...bie/findroot/src/biginterval.rkt:156:0 bfadd [76] 59.5% ------------------------------------------------------------------------ ??? [50] 100.0% [68] 818(4.4%) 0(0.0%) ival-neg ...rbie/findroot/src/biginterval.rkt:98:0 bfneg [74] 100.0% ------------------------------------------------------------------------ log! [56] 100.0% [69] 598(3.2%) 598(3.2%) for-loop ...s/herbie/findroot/src/points.rkt:66:23 ------------------------------------------------------------------------ ??? [50] 100.0% [70] 588(3.1%) 194(1.0%) ival-add ...bie/findroot/src/biginterval.rkt:102:0 bfadd [76] 67.0% ------------------------------------------------------------------------ sample-multi-bounded [57] 100.0% [71] 400(2.1%) 202(1.1%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [81] 49.5% ------------------------------------------------------------------------ for-loop [58] 100.0% [72] 398(2.1%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [80] 100.0% ------------------------------------------------------------------------ apply-transformer52 [60] 100.0% [73] 184(1.0%) 0(0.0%) apply-post-expansion (unknown source) gf [78] 100.0% ------------------------------------------------------------------------ ival-neg [68] 36.8% ival-exp [61] 63.2% [74] 2222(11.9%) 202(1.1%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:632:4 ??? [99] 53.7% new-mpfr [98] 37.2% ------------------------------------------------------------------------ taylor-alt [62] 100.0% [75] 2138(11.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [82] 100.0% ------------------------------------------------------------------------ ival-add [70] 24.9% ival-div [67] 37.2% ival-sub [66] 37.8% [76] 1580(8.4%) 200(1.1%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [98] 49.5% ??? [99] 37.8% ------------------------------------------------------------------------ egraph-run [64] 100.0% [77] 1462(7.8%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [84] 100.0% ------------------------------------------------------------------------ apply-post-expansion [73] 5.1% loop [40] 94.9% [78] 1200(6.4%) 588(3.1%) gf (unknown source) propagation-apply [86] 18.8% cache-or-reuse-hash [87] 16.8% loop [40] 15.3% ------------------------------------------------------------------------ for-loop [65] 100.0% [79] 1186(6.3%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [83] 100.0% ------------------------------------------------------------------------ matcher [95] 50.0% rewrite-expression-head24 [72] 50.0% [80] 398(2.1%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [85] 100.0% ------------------------------------------------------------------------ random-ranges [71] 100.0% [81] 198(1.1%) 0(0.0%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [88] 100.0% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 5.8% loop [12] 18.2% location-do [89] 20.9% for-loop [75] 20.9% real->precision [55] 34.3% [82] 3570(19.1%) 208(1.1%) ??? ...tract/private/arrow-higher-order.rkt:375:33 bf [93] 28.6% location-do [89] 20.9% approximate9 [2] 20.9% hash-ref! [90] 18.2% ??? [96] 5.7% ------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [25] 25.6% atab-add-altn [79] 74.4% [83] 1594(8.5%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [91] 100.0% ------------------------------------------------------------------------ egraph-add-exprs [77] 100.0% [84] 1462(7.8%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [92] 100.0% ------------------------------------------------------------------------ rewriter [80] 100.0% [85] 398(2.1%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 matcher [95] 50.0% for-loop [94] 50.0% ------------------------------------------------------------------------ gf [78] 100.0% [86] 226(1.2%) 226(1.2%) propagation-apply (unknown source) ------------------------------------------------------------------------ gf [78] 100.0% [87] 202(1.1%) 202(1.1%) cache-or-reuse-hash (unknown source) ------------------------------------------------------------------------ cons/c [81] 100.0% [88] 198(1.1%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [97] 100.0% ------------------------------------------------------------------------ location-do [89] 32.1% ??? [82] 67.9% [89] 2138(11.4%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 ??? [82] 67.9% location-do [89] 32.1% ------------------------------------------------------------------------ ??? [100] 3.2% ??? [22] 4.2% ??? [102] 5.7% for-loop [16] 8.1% for-loop [14] 19.6% ??? [3] 28.8% ??? [82] 30.5% [90] 1946(10.4%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [3] 30.5% parse-loop74 [4] 27.3% ??? [5] 22.1% ??? [7] 8.1% ??? [102] 5.7% ??? [100] 3.2% f61 [104] 3.1% ------------------------------------------------------------------------ errors [83] 100.0% [91] 1594(8.5%) 198(1.1%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [25] 87.6% ------------------------------------------------------------------------ ??? [84] 100.0% [92] 1462(7.8%) 1462(7.8%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------ ??? [82] 100.0% [93] 1020(5.5%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [98] 60.0% ??? [99] 40.0% ------------------------------------------------------------------------ for-loop [85] 100.0% [94] 398(2.1%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [101] 100.0% ------------------------------------------------------------------------ for-loop [17] 50.0% for-loop [85] 50.0% [95] 398(2.1%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:115:2 ??? [8] 50.0% rewriter [80] 50.0% ------------------------------------------------------------------------ ??? [82] 100.0% [96] 204(1.1%) 204(1.1%) ??? ...ects/racket/contract/private/guts.rkt:770:8 ------------------------------------------------------------------------ coerce-contract [88] 100.0% [97] 198(1.1%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [103] 100.0% ------------------------------------------------------------------------ bf [93] 27.6% bfadd [76] 35.2% bfneg [74] 37.2% [98] 2220(11.9%) 2220(11.9%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------ bf [93] 18.5% bfadd [76] 27.2% bfneg [74] 54.3% [99] 2200(11.8%) 2200(11.8%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 ------------------------------------------------------------------------ hash-ref! [90] 100.0% [100] 408(2.2%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:327:33 hash-ref! [90] 100.0% ------------------------------------------------------------------------ for-loop [94] 100.0% [101] 398(2.1%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 pattern-match [105] 54.3% pattern-substitute [106] 45.7% ------------------------------------------------------------------------ hash-ref! [90] 100.0% [102] 382(2.0%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:343:33 hash-ref! [90] 100.0% ------------------------------------------------------------------------ coerce-contract/f [97] 100.0% [103] 198(1.1%) 198(1.1%) coerce-simple-value ...ract/private/guts.rkt:385:0 ------------------------------------------------------------------------ hash-ref! [90] 100.0% [104] 182(1.0%) 0(0.0%) f61 (unknown source) eval-const-expr [13] 100.0% ------------------------------------------------------------------------ fix-up-variables [101] 100.0% [105] 216(1.2%) 0(0.0%) pattern-match ...indroot/src/core/matcher.rkt:29:0 for-loop [107] 100.0% ------------------------------------------------------------------------ pattern-substitute [106] 50.0% fix-up-variables [101] 50.0% [106] 182(1.0%) 182(1.0%) pattern-substitute ...ot/src/core/matcher.rkt:45:0 pattern-substitute [106] 50.0% ------------------------------------------------------------------------ pattern-match [105] 100.0% [107] 216(1.2%) 216(1.2%) for-loop ...bie/findroot/src/core/matcher.rkt:26:9 ------------------------------------------------------------------------